Question

the sum of two number is 18 and their product is 56 find the number​

Answer 1

14 and 4

Step-by-step explanation:

take out all no whose pairs sum is 18

like 14+4=18

14×4=56

Answer 2

Given :

Sum of two numbers = 18

Let the numbers be x and y

According to the problem,

x + y = 18

x = 18 - y ---------(1)

The product of these numbers = 56

xy = 56 ------(2)

Substitute eq - (1) in eq - (2)

(18 - y)y = 56

18y - y² = 56

y² - 18y - 56 = 0

Split the middle term.

y² - 4y - 14y - 56

y(y - 4) - 14(y - 4)

y - 4 = 0 ; y - 14 = 0

y = 4 ; y = 14

We can take either 4 or 14 as y value.

Let's take 14.

Then x :

x + y = 18

x + 14 = 18

x = 18 - 14

x = 4

Therefore, the two numbers are 14 and 4.